We tried that at a buddy's place, all spring, summer and fall. It did pretty much nothing in his case. Now we used a blue tarp so it let light through and there was enough condensation/moisture under it so it was some sort of bio-dome I guess. Maybe slowed them, didn't kill them. Maybe a black tarp would have worked better?In all honesty, I would probably just drop a big tarp on the grass there...it'll kill it in a few days very effectively. Might smell a little bit...but...
When we put up our above ground pool, when I took it off the grass it was a horrifying smell....sweet baby Jesus...my neighbours thought I laid fertilizer all over the lawn or had dead bodies in my yard...lasted about a week or two, and 2 years later, not much is growing there.
The google maps overhead view looked like he installed a giant pool...